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Finding the Fourth Proportional to 6,002.70, 8,993.28 and 3,661.44

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Solution

The fourth proportional to 6,002.70, 8,993.28 and 3,661.44 is: 5,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.70 : 8,993.28 = 3,661.44 : x
  2. Step 2: Convert to fraction form
    6,002.70/8,993.28 = 3,661.44/x
  3. Step 3: Cross multiply
    6,002.70x = 8,993.28 × 3,661.44
  4. Step 4: Simplify right side
    6,002.70x = 32,928,355.12
  5. Step 5: Solve for x
    x = 32,928,355.12/6,002.70
  6. Step 6: Final answer
    x = 5,485.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.